Dominant structures in jet streams

A Hamiltonian version has been formulated for the model of axisymmetric equally rotating jet streams with a free boundary. In the framework of this approach, dominant structures, i.e., structure elements appearing in strongly disturbed jet streams at the preturbulent stage of their decay, are studied. It has been shown that compactons, i.e., solution with a compact support, can be such dominant structures. Analysis of the mechanism of the instability of compactons shows the possibility of collapse, which occurs almost without deformation of their shape but leads to the intensification of the vortex sheet at the boundary according to the law (t ₀ ? t)^?1, where t ₀ is the collapse time.     

Chaotic transport across two-dimensional jet streams

A dynamically consistent model of a jet stream modulated by Rossby waves is used to analyze the onset of chaotic transport of a passive tracer across the jet (cross-jet transport). For odd Rossby wavenumbers, a technique is developed to find a central invariant curve whose breakup signifies the onset of cross-jet transport. Amplitude and resonance mechanisms of breakup of this curve are investigated. For even-odd pairs of wavenumbers, an alternative technique is proposed for detecting cross-jet transport, based on an overlap of northern and southern stochastic layers. In this case, the Rossby-wave amplitudes required for global crossjet transport to occur are larger than those in the case of odd wavenumbers. The predicted results should be tested in laboratory experiments simulating jet streams modulated by Rossby waves.     

超音速射流啸叫模式切换不稳定性

超音速射流的噪声辐射有3个主要成分,即湍流的混合噪声、与激波结构有关的宽带噪卢以及离散的单频啸叫。其中啸叫离散基频特性具有多种模式,模式之间的切换是一个不稳定过渡过程,与流动纹影显示的不稳定相对应。模式切换过程中在频率特性上反映出一种模式的饱和、衰减,而另一种模式的强化,最终成为主导。这种切换过程中的频率变化很可能和流动失稳涡结构的破碎、配对相关联,利用线性不稳定性理论得到了与实验相符的不稳定波的增长率,分析了不稳定波最大增长率与啸叫频率切换的对应关系。     

Instability of water jet: Aerodynamically induced acoustic and capillary waves

High-speed water jet cutting has important industrial applications. To further improve the cutting performance it is critical to understand the theory behind the onset of instability of the jet. In this paper, instability of a water jet flowing out from a nozzle into ambient air is studied. Capillary forces and compressibility of the liquid caused by gas bubbles are taken into account, since these factors have shown to be important in previous experimental studies. A new dispersion equation, generalizing the analogous Rayleigh equation, is derived. It is shown how instability develops because of aerodynamic forces that appear at the streamlining of an initial irregularity of the equilibrium shape of the cross-section of the jet and how instability increases with increased concentration of gas bubbles. It is also shown how resonance phenomena are responsible for strong instability. On the basis of the theoretical explanations given, conditions for stable operation are indicated.     

Instability of the uniform atomic chain with a convex interatomic potential

The cooperative character of the instability in a chain with a convex interatomic potrntial is shown. The low-temperature thermodynamics of such a chain is investigated. The interaction between such chains as a cause of the phase transition accompanied by doubling the lattice period in TlHF₂ is discussed.     

The stabilization of partially-premixed jet flames in the presence of high potential electric fields

Numerous research efforts have focused on flame stabilization and emissions. Based on initial experiments, specific mechanisms resulting from DC electric fields were chosen to be investigated, namely the chemical, thermal, and ionization mechanisms. Numerical simulations were performed on premixed propane-ozone-air flames to characterize ozone effects on flame speed resulting from the formation of ozone in high potential electric fields. These results were compared against partially premixed flame experiments to observe the dominant influences within leading edge stabilization within high potential electric fields. It was found that the electromagnetic or ionization influences, serve as the dominant effect on the combustion zone.     

对模拟年轻恒星喷流具有潜在应用的由强激光产生的等离子体喷流（英）

利用神光Ⅱ激光装置的两束激光烧蚀半圆柱壳层靶产生了高速等离子体喷流。喷流的参数由光学和X射线诊断测量。喷流是准直的,在真空中传播。一维流体力学模拟被用来间接地计算喷流的速度。喷流的准直可能来源于高Z等离子体的辐射冷却。由于和年轻恒星喷流具有某些几何相似性,实验室喷流对于在实验室中模拟年轻恒星喷流具有潜在应用。     

对模拟年轻恒星喷流具有潜在应用的由强激光产生的等离子体喷流（英）

利用神光Ⅱ激光装置的两束激光烧蚀半圆柱壳层靶产生了高速等离子体喷流。喷流的参数由光学和X射线诊断测量。喷流是准直的,在真空中传播。一维流体力学模拟被用来间接地计算喷流的速度。喷流的准直可能来源于高Z等离子体的辐射冷却。由于和年轻恒星喷流具有某些几何相似性,实验室喷流对于在实验室中模拟年轻恒星喷流具有潜在应用。     

Instability of bound states of a nonlinear Schrödinger equation with a Dirac potential

We study analytically and numerically the stability of the standing waves for a nonlinear Schrödinger equation with a point defect and a power type nonlinearity. A major difficulty is to compute the number of negative eigenvalues of the linearized operator around the standing waves. This is overcome by a perturbation method and continuation arguments. Among others, in the case of a repulsive defect, we show that the standing-wave solution is stable in and unstable in under subcritical nonlinearity. Further we investigate the nature of instability: under critical or supercritical nonlinear interaction, we prove the instability by blowup in the repulsive case by showing a virial theorem and using a minimization method involving two constraints. In the subcritical radial case, unstable bound states cannot collapse, but rather narrow down until they reach the stable regime (a finite-width instability). In the nonradial repulsive case, all bound states are unstable, and the instability is manifested by a lateral drift away from the defect, sometimes in combination with a finite-width instability or a blowup instability.     

Vacuum Instability

NAbstract Following fresh attempts to resolve the problem of the energy density of the vacuum, we reconsider the case where the cosmological constant is derived from a higher-dimensional version of general relativity, and interpret the gauge-dependence of Λ as a dynamical effect. This leads to a relation between the change in Λ and the line element (action) which is independent of gauge choices and fundamental constants: dΛds² = −6. This implies that the (classical) vacuum is unstable, with implications for particle production.     

Instability of incoherent photons

A kinetic theory for the modulational instability of incoherent photons with a broad spectrum is presented. Explicit results for the growth rates are obtained in several limiting cases.     

Instability of Kaluza-Klein cosmology

We show that cosmological solutions in Kaluza-Klein theory in more than five dimensions are unstable. This is due to the fact that the extra cosmic scale factors appearing in the metric ansatz act as scalar matter fields in the physical four-dimensional spacetime. These fields have physically unacceptable features: their kinetic energy can be negative and the energy spectrum is unbounded from below. To remove the defects a reinterpretation of the cosmological metric ansatz is necessary.     

Instability of Heisenberg-spin-glass-phase transitions

It is pointed out that there should be no stable phase transitions for XY- and Heisenberg spin glasses with d ? 4 dimensions, and for Ising spin glasses with d ? 2, in the presence of arbitrarily small random magnetic fields. In the absence of such fields the critical dimensions are 2 and 1, respectively.     

Anode Spot Instability I. The Homogeneous Short Gap Instability

If the current in a "vacuum arc" surpasses a certain critical value a conspicuous and destructive phenomenon occurs at the anode, the ANODE CONSTRICTION INSTABILITY or ANODE SPOT FORMATION [1 - 10]. This paper will give a quantitative analysis of this phenomenon within the limits of a model which can be characterized by lateral homogenity, collision dominance and small electrode separation. Matching the various model regions results in a differential equation for the anodic spot area which exhibits an anode constriction instability of the "explosive type". A marginal instability criterion is derived and evaluated for various materials. This yields extensive information about the dependence of the constriction instability on the parameters of the experimental set up. The findings are compared with the experimental results and show satisfactory agreement within the limitations of experiments and theory.